Properties

Label 134640cj
Number of curves $1$
Conductor $134640$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 134640cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.cc1 134640cj1 \([0, 0, 0, 254517, 7135738]\) \(610641930681719/360747465210\) \(-1077186159157616640\) \([]\) \(1797120\) \(2.1494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 134640cj do not have complex multiplication.

Modular form 134640.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} - q^{11} - 4 q^{13} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display